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lfunc_lfunctions • Show schema
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{'Lhash': '3573594751925290258273886917021', 'a10': [-6.808284552798937, -7.527983205915272], 'a2': [1.4833409033666034, -1.3415288906317109], 'a3': [0.0, -1.7320508075688772], 'a4': [0.400600471200902, -3.979889353044079], 'a5': [0.0, -5.075018958103088], 'a6': [-2.323596198395635, -2.5692218095760735], 'a7': [0.0, 3.531855587422948], 'a8': [-4.744909483785948, -6.4409497739602175], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.193478979111839, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.4833409033666034, 1.3415288906317109]]], [3, [[1.0, 0], [0, 1.7320508075688772]]], [11, [[1.0, 0], [10.57211293440975, 3.0381619611347337]]]], 'bad_primes': [2, 3, 11], 'central_character': '264.109', 'coefficient_field': 'CDF', 'conductor': 264, 'conductor_radical': 66, 'conjugate': '1096930944298510993790257422488', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.4833409033666034, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.193478979111839, 'bad_primes': [2, 3, 11], 'central_character': '88.21', 'conductor': 264, 'conductor_radical': 66, 'degree': 2, 'index': 46, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/264/3/e/a/109/39'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-264-88.21-c2-0-46', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-264-88.21-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.682066177243179, 'root_angle': 0.4434862650688365, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.81906919089684159346250883647', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3573594751925290258273886917021', 'Lhash_array': ['3573594751925290258273886917021'], 'label': '2-264-88.21-c2-0-46', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/264/3/e/a/109/39'}